What is 27/34 Divided By 3/5

Solving $\frac{27}{34}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{34} \div \frac{3}{5} = \frac{27}{34} \times \frac{5}{3}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{27}{34} \times \frac{3}{5} = \frac{135}{102}$

Let's Simplify $\frac{135}{102}$

• Find the Greatest Common Divisor (GCD) of $135$ and $102$. The GCD of $135$ and $102$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{102 \div 3} = \frac{45}{34}$

Answer $\frac{27}{34}\div\frac{3}{5} = \frac{45}{34}$

The following animation demonstrates the divide-by,